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Finding the Fourth Proportional to 595.52, 821.80 and 346.85

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Solution

The fourth proportional to 595.52, 821.80 and 346.85 is: 478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.52 : 821.80 = 346.85 : x
  2. Step 2: Convert to fraction form
    595.52/821.80 = 346.85/x
  3. Step 3: Cross multiply
    595.52x = 821.80 × 346.85
  4. Step 4: Simplify right side
    595.52x = 285,041.33
  5. Step 5: Solve for x
    x = 285,041.33/595.52
  6. Step 6: Final answer
    x = 478.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.